2320260733440 has 1280 divisors, whose sum is σ = 9132165504000. Its totient is φ = 561842749440.

The previous prime is 2320260733433. The next prime is 2320260733471. The reversal of 2320260733440 is 443370620232.

2320260733440 is a `hidden beast` number, since 2 + 3 + 2 + 0 + 2 + 607 + 3 + 3 + 4 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-2 number, since 2×2320260733440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2320260733395 and 2320260733404.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5167618336 + ... + 5167618784.

It is an arithmetic number, because the mean of its divisors is an integer number (7134504300).

Almost surely, 2^{2320260733440} is an apocalyptic number.

2320260733440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2320260733440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566082752000).

2320260733440 is an abundant number, since it is smaller than the sum of its proper divisors (6811904770560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2320260733440 is an frugal number, since it uses more digits than its factorization.

2320260733440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

The spelling of 2320260733440 in words is "two trillion, three hundred twenty billion, two hundred sixty million, seven hundred thirty-three thousand, four hundred forty".